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G. Fandel and T. Gal, “Multiple Criteria Decision Making: Theory and Applications,” Springer-Verlag Press, New York, 1980. doi:10.1007/978-3-642-48782-8

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• TITLE: Homotopy Continuous Method for Weak Efficient Solution of Multiobjective Optimization Problem with Feasible Set Unbounded Condition

  AUTHORS: Wei Xing, Boying Wu

  KEYWORDS: Multiobjective Optimization Problem; Feasible Set Unbounded; Homotopy Continuous Method; Global Convergence

  JOURNAL NAME: Applied Mathematics, Vol.3 No.7, June 21, 2012

  ABSTRACT: In this paper, we propose a homotopy continuous method (HCM) for solving a weak efficient solution of multiobjective optimization problem (MOP) with feasible set unbounded condition, which is arising in Economical Distributions, Engineering Decisions, Resource Allocations and other field of mathematical economics and engineering problems. Under the suitable assumption, it is proved to globally converge to a weak efficient solution of (MOP), if its x-branch has no weak infinite solution.